Answer:
56√93 ≈ 540 ft²
Step-by-step explanation:
The roof is made up of 4 congruent isosceles triangles. Since the roof extends 2 ft over the edge of the cottage on each side, then the base of each triangle is 26 + 2 = 28 ft.
Let's calculate the area of one of the triangles and then just multiply by 4. See attachment. Drop a perpendicular from the vertex of a triangle to its base. We now have the triangle broken up into two right triangles. The hypotenuse is 17 ft and one of the legs of the right triangle is 28 / 2 = 14 ft. Then the height / other leg is:
We now have the dimensions of each triangle: the height is √93 and the base is 28. The area of a triangle is: A = (1/2) * b * h, so we have the following.
A = (1/2) * b * h
A = (1/2) * 28 * √93 = 14√93
Multiply this by 4:
14√93 * 4 = 56√93
The total surface area is 56√93 ≈ 540 ft².
Answer:
12
Step-by-step explanation:
<u>NOTE: </u><u>The easiest way to find a common denominator for a pair of fractions is to multiply the numerator and denominator of each fraction by the denominator of the other.</u>
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Answer:
A. 40%
Step-by-step explanation:
Model with an equation
50x = 20
Isolate x
x = 20/50
Simplify
x = 2/5
x = 0.4
Convert the decimal to a percentage (move decimal two places to the left)
0.4 = 40%
Working:
7y + 42 = -14x
7y = -14x - 42
y = ((-14x - 42) ÷ 7)
Expand and Simplify:
y = -2x - 6
Factorise:
y = -2(x +3)
x = -3
Substitute x=-3 into equation.
7y + 42 = -14(-3)
7y + 42 = 42
7y = 0
Divide 7, on both sides, to get rid of the coefficient (7), thus, making y the subject.
y = 0 [anything divide or times to zero, will always remain zero]
Following model: (x,y)
Answer: (-3,0)
Hope this helps. Chur :)